Mathematics > Geometric Topology
arXiv:2606.14927 (math)
[Submitted on 12 Jun 2026]
Abstract:We prove that rational homology ribbon cobordism defines a partial order on the set of homeomorphism classes of closed, connected, oriented 3-manifolds. More precisely, if $W_0 \leq W_1$ and $W_1 \leq W_0$, then $W_0$ and $W_1$ are homeomorphic by an orientation preserving homeomorphism.
Submission history
From: William Ghanem [view email]
[v1]
Fri, 12 Jun 2026 20:04:02 UTC (50 KB)
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